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Finding the Fourth Proportional to 5,129.60, 7,691.19 and 2,166.51

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Solution

The fourth proportional to 5,129.60, 7,691.19 and 2,166.51 is: 3,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.60 : 7,691.19 = 2,166.51 : x
  2. Step 2: Convert to fraction form
    5,129.60/7,691.19 = 2,166.51/x
  3. Step 3: Cross multiply
    5,129.60x = 7,691.19 × 2,166.51
  4. Step 4: Simplify right side
    5,129.60x = 16,663,040.05
  5. Step 5: Solve for x
    x = 16,663,040.05/5,129.60
  6. Step 6: Final answer
    x = 3,248.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.